Teaching Schedule

Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

Archived teaching schedules 2014–2015

You are browsing archived teaching schedule. Current teaching schedules can be found here.

MATE5332
Introduction to Conformal Geometry and Quasiconformal maps
5–10
ECTS

Periods

Language of instruction

English

Type or level of studies

Advanced studies

Course unit descriptions in the curriculum

DP in Mathematics

Mathematics

Department of Mathematics and Statistics

Mathematics

Department of Mathematics and Statistics

Euclidean geometry studies configurations of points such as triangles and polygons and those properties of these

that are invariant under similarity transformations. Hyperbolic geometry is largely analogous to the Euclidean geometry, but a key feature now is invariance with respect to conformal automorphisms of the unit disk, Möbius transformations. Conformal geometry refers to generalization of these notions to subdomains of higher dimensional Euclidean spaces. These ideas are then applied to study familiar classes of maps such as bilipschitz maps and their generalizations, quasiconformal maps. The goal is to develop modern mapping theory in this framework. Some of the key tools, such as the extremal length of a curve family, are based on measure theory.

The course consists of weekly exercises in a group.

Matti Vuorinen

vuorinen[ät]utu.fi

10-Mar-2015
–
12-May-2015

Independent work

Exercises

Exercises

Tue 10-Mar-2015 - 12-May-2015 weekly at 12-14, The time and place will be updated here during the week 10.

The information regarding the course schedule will be updated here during the week 10.